A System.Windows.Forms.HtmlDocument (in VB.NET) is not an mshtml.HtmlDocument (in VBA). Without seeing the relevant code, I can't be sure that you haven't ended up with the former.
Rather than going through extra steps to get the latter, you can write your own method for getting elements with a particular class name, e.g.
Public Class Form1
    Dim wb As WebBrowser
    Function GetElementsHavingClassName(doc As HtmlDocument, className As String) As List(Of HtmlElement)
        Dim elems As New List(Of HtmlElement)
        For Each elem As HtmlElement In doc.All
            Dim classes = elem.GetAttribute("className")
            If classes.Split(" "c).Any(Function(c) c = className) Then
                elems.Add(elem)
            End If
        Next
        Return elems
    End Function
    Sub ExtractElements(sender As Object, e As WebBrowserDocumentCompletedEventArgs)
        Dim wb = DirectCast(sender, WebBrowser)
        Dim flintstones = GetElementsHavingClassName(wb.Document, "flintstone")
        If flintstones.Count > 0 Then
            For Each fs In flintstones
                ' do something with the element
                TextBox1.AppendText(fs.InnerText & vbCrLf)
            Next
        Else
            TextBox1.Text = "Not found."
        End If
    End Sub
    Sub DoStuff()
        If wb Is Nothing Then
            wb = New WebBrowser
        End If
        RemoveHandler wb.DocumentCompleted, AddressOf ExtractElements ' don't leave any old ones lying around
        AddHandler wb.DocumentCompleted, AddressOf ExtractElements
        Dim loc = "file:///c:\temp\somehtml.html"
        Try
            wb.Navigate(loc)
        Catch ex As Exception
            'TODO: handle the problem gracefully.
            MsgBox(ex.Message)
        End Try
    End Sub
    Private Sub Form1_Load(sender As Object, e As EventArgs) Handles MyBase.Load
        DoStuff()
    End Sub
    Private Sub Form1_FormClosing(sender As Object, e As FormClosingEventArgs) Handles MyBase.FormClosing
        If wb IsNot Nothing Then
            RemoveHandler wb.DocumentCompleted, AddressOf ExtractElements
            wb.Dispose()
        End If
    End Sub
End Class
Which, given the HTML
<!DOCTYPE html>
<html>
<head><title></title></head>
<body>
<div class="fred flintstone">Fred</div>
<div class="wilma flintstone">Wilma</div>
<div class="not-a-flintstone">Barney</div>
</body>
</html>
outputs
Fred
  Wilma